Diagram uniqueness for highly twisted plats, with Yoav Moriah
Unfortunately there is a gap in the argument, in Section 3. The same error affects both papers. We thought we had a fix, but after some time we realise the fix is harder than expected. Thus these two papers are now in purgatory.

For now, the old versions are available here and on the ArXiv (withdrawn).
Original (27 pages): [pdf].
ArXiv.
Even plats (20 pages): [pdf].
ArXiv.